Multiple solutions of nonlinear Schrödinger equations via flow invariance and Morse theory

DOI10.1017/S0308210500004820zbMath1128.35045OpenAlexW1982206140MaRDI QIDQ3420181

Tobias Weth, Zhi-Qiang Wang, Zhaoli Liu

Publication date: 1 February 2007

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500004820

zbMATH Keywords

nonlinear Schrödinger equationsign changing solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

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Quasilinear Schrödinger equations with bounded coefficients ⋮ Remarks on infinitely many solutions for a class of Schrödinger equations with sign-changing potential ⋮ Compactness results for Schrödinger equations with asymptotically linear terms ⋮ The Fučík spectrum of Schrödinger operator and the existence of four solutions of Schrödinger equations with jumping nonlinearities ⋮ Sign-changing solutions of nonlinear elliptic equations ⋮ Least energy nodal solution for nonlinear Schrödinger equation without (AR) condition ⋮ On the existence of signed and sign-changing solutions for a class of superlinear Schrödinger equations ⋮ Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\)

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